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GMAT Prep
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In the rectangular coordinate system above, for which of the shaded regions is the area 2?
A. None
B. Q Only
C. Q and R
D. P, Q, and R only
E. P, Q, R and S
OA
D
Observe that the area of each small square formed by the gridlines is 1.
The area of region P is 2 since P is a triangle with base = 4 and height = 1. Thus, the area of P is (1/2)(4)(1) = 2.
The area of region Q is 2 since Q is a rectangle with length = 2 and width = 1. Thus, the area of Q is (2)(1) = 2.
The area of region R is 2 since R can be broken into four right triangles, each of which has an area of exactly 1/2.
The area of region S, however, is not 2. We can see that S is a triangle with base = 3 and height = 1. Thus, the area of S is (1/2)(3)(1) = 3/2.
Answer: D
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